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3 years ago

Someone help pls :((

Mathematics

1 answer:

harina [27]3 years ago

6 0

Answer:

56.714°

Step-by-step explanation:

Since we do not have a full angle of this proposed triangle, we must do this by splitting it into two right triangles instead of using the law of sines.

250m*sin(40°) = 250m*0.64278760968 = 160.696902422m

452.4m-160.696902422m=291.703097578m

Use pythagorean theorem:

$\sqrt{250^2 - 160.696902422^2}$

62500-25823.494448025787=36676.505552

$\sqrt{36676.505551974216}$ = 191.511110779m

arctan(291.703097578m/191.511110779m)≈56.714°

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Answer:

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Step-by-step explanation:

Given four pair of events:

1. Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards

2. Drawing a 2 and drawing a 4 with replacement from a standard deck of cards

3. Drawing a heart and then drawing a spade without replacement from a standard deck of cards

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First of all, let us have a look at the definition of mutually exclusive events.

Mutually exclusive events do not have any case in common.

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Now, let us have a look at the given options one by one:

1. Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards.

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2. Drawing a 2 and drawing a 4 with replacement from a standard deck of cards.

The two events can occur one after the other, so these are not mutually exclusive.

3. Drawing a heart and then drawing a spade without replacement from a standard deck of cards.

Separate cards are drawn one after the other, so not mutually exclusive.

4. Drawing a jack and then drawing a 7 without replacement from a standard deck of cards.

Separate cards are drawn one after the other, so not mutually exclusive.

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